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The Seemingly Simple Square

If ABCD is a 2x2 square, E is the midpoint of AB, F is the midpoint of BC, AF and DE intersect at I, and BD and AF intersect at H. If the area of triangle HID is a/b, where a and b are coprime, what is the value of a+b?

Note by Kathleen Kasper
4 years, 4 months ago

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I got 0.533

Tristan Harcourt - 4 years, 4 months ago

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use the exact fractional form (which I should have stated in the question), and you're there.

Kathleen Kasper - 4 years, 4 months ago

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Apologies, I am used to working with decimals, the correct answer should then be 8/15

Tristan Harcourt - 4 years, 4 months ago

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@Tristan Harcourt yes!

Kathleen Kasper - 4 years, 4 months ago

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Is the answer \(\frac{3}{4}\)?

Vikram Waradpande - 4 years, 4 months ago

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No

Kathleen Kasper - 4 years, 4 months ago

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